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Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions

Citations

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Cited by:

  1. André Barreira Da Silva Rocha, 2017. "Cooperation In The Well-Mixed Two-Population Snowdrift Game With Punishment Enforced Through Different Mechanisms," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(04n05), pages 1-21, June.
  2. Zhang, Yongqiang & Zheng, Zehao & Zhang, Xiaoming & Ma, Jinlong, 2025. "Dynamic punishment-reputation synergy drives cooperation in spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 506(C).
  3. Huang, Yongchao & Ren, Tianyu & Zheng, Junjun & Liu, Wenyi & Zhang, Mengshu, 2023. "Evolution of cooperation in public goods games with dynamic resource allocation: A fairness preference perspective," Applied Mathematics and Computation, Elsevier, vol. 445(C).
  4. Xie, Kai & Szolnoki, Attila, 2025. "Reputation in public goods cooperation under double Q-learning protocol," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
  5. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2024. "Impact of dynamic compensation with resource feedback on the common pool resource game," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
  6. Wang, Yi-Ling, 2013. "Learning ability driven by majority selection enhances spatial reciprocity in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 96-100.
  7. Feng, Sinan & Liu, Xuesong & Dong, Yida, 2022. "Limited punishment pool may promote cooperation in the public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
  8. Guo, Tian & Du, Chunpeng & Shi, Lei, 2024. "Evolution of cooperation on interdependent networks: The impact of asymmetric punishment," Applied Mathematics and Computation, Elsevier, vol. 463(C).
  9. Changbing Tang & Zhen Wang & Xiang Li, 2014. "Moderate Intra-Group Bias Maximizes Cooperation on Interdependent Populations," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-7, February.
  10. Te Wu & Feng Fu & Long Wang, 2011. "Moving Away from Nasty Encounters Enhances Cooperation in Ecological Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.
  11. Xie, Kai & Liu, Yaojun & Liu, Tingjin, 2024. "Unveiling the masks: Deception and reputation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
  12. Bin Wu & Lei Zhou, 2018. "Individualised aspiration dynamics: Calculation by proofs," PLOS Computational Biology, Public Library of Science, vol. 14(9), pages 1-15, September.
  13. Ding, Rui & Wang, Xianjia & Liu, Yang & Zhao, Jinhua & Gu, Cuiling, 2023. "Evolutionary games with environmental feedbacks under an external incentive mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  14. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The cooperative evolution in the spatial prisoner's dilemma game with the local loyalty of two-strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
  15. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman & Gu, Cuiling, 2022. "Competition of punishment and reward among inequity-averse individuals in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
  16. Hu, Liwen & He, Nanrong & Weng, Qifeng & Chen, Xiaojie & Perc, Matjaž, 2020. "Rewarding endowments lead to a win-win in the evolution of public cooperation and the accumulation of common resources," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
  17. Chaoqian Wang & Matjaž Perc & Attila Szolnoki, 2024. "Evolutionary dynamics of any multiplayer game on regular graphs," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
  18. Tatsuya Sasaki & Hitoshi Yamamoto & Isamu Okada & Satoshi Uchida, 2017. "The Evolution of Reputation-Based Cooperation in Regular Networks," Games, MDPI, vol. 8(1), pages 1-16, January.
  19. Szolnoki, Attila & Chen, Xiaojie, 2020. "Blocking defector invasion by focusing on the most successful partner," Applied Mathematics and Computation, Elsevier, vol. 385(C).
  20. Deng, Kuiying & Li, Zhuozheng & Kurokawa, Shun & Chu, Tianguang, 2012. "Rare but severe concerted punishment that favors cooperation," Theoretical Population Biology, Elsevier, vol. 81(4), pages 284-291.
  21. Xuechao Zhang & Shichang Lu, 2024. "The effect of survival pressure-based defector reward behavior on cooperation in spatial prisoner’s dilemma games," PLOS ONE, Public Library of Science, vol. 19(11), pages 1-14, November.
  22. Kang, Hongwei & Li, Xin & Shen, Yong & Sun, Xingping & Chen, Qingyi, 2024. "Particle swarm optimization with historical return decay enhances cooperation in public goods games with investment risks," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
  23. Shuo Wang & Zhuang Li & Weidong Li & Hua Jiang, 2022. "Continuous Spatial Public Goods Game Based on Particle Swarm Optimization with Memory Stability," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
  24. Liu, Jiaqi & Zhang, Qianwei & Tang, Rui, 2024. "Fostering cooperative evolution through probabilistic punishment and environmental feedback in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
  25. Alexander Isakov & David Rand, 2012. "The Evolution of Coercive Institutional Punishment," Dynamic Games and Applications, Springer, vol. 2(1), pages 97-109, March.
  26. Ohdaira, Tetsushi, 2025. "The second-order probabilistic pool punishment proportional to the payoff difference can solve the punishment problem of previous studies," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
  27. Sun, Xingping & Li, Mingyuan & Kang, Hongwei & Shen, Yong & Chen, Qingyi, 2023. "Combined effect of pure punishment and reward in the public goods game," Applied Mathematics and Computation, Elsevier, vol. 445(C).
  28. Cui, Guang-Hai & Wang, Zhen & Ren, Jian-Kang & Lu, Kun & Li, Ming-Chu, 2016. "Promotion of cooperation induced by discriminators in the spatial multi-player donor–recipient game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 92-103.
  29. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "The impact of current and historical reputation with non-uniform change on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
  30. Zhang, Xinran & Zhang, Qianwei & Liu, Jiaqi, 2025. "The selective imitation based on influence mechanism in evolutionary dynamics of the Prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
  31. Gabor I Simko & Peter Csermely, 2013. "Nodes Having a Major Influence to Break Cooperation Define a Novel Centrality Measure: Game Centrality," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-8, June.
  32. Takesue, Hirofumi, 2025. "Evolution of cooperation in a three-strategy game combining snowdrift and stag hunt games," Applied Mathematics and Computation, Elsevier, vol. 495(C).
  33. Ding, Rui & Wang, Xianjia & Zhao, Jinhua & Gu, Cuiling & Wang, Tao, 2023. "The evolution of cooperation in spatial public goods games under a risk-transfer mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  34. Lu, Peng & Wang, Fang, 2015. "Heterogeneity of inferring reputation probability in cooperative behaviors for the spatial prisoners’ dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 367-378.
  35. Si, Zehua & He, Zhixue & Shen, Chen & Tanimoto, Jun, 2023. "Speculative defectors as unexpected insulators of super cooperators in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
  36. Wang, Chaoqian & Huang, Chaochao, 2022. "Between local and global strategy updating in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
  37. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
  38. Jelena Grujić & Torsten Röhl & Dirk Semmann & Manfred Milinski & Arne Traulsen, 2012. "Consistent Strategy Updating in Spatial and Non-Spatial Behavioral Experiments Does Not Promote Cooperation in Social Networks," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-8, November.
  39. Qian, Jun & Zhang, Tongda & Zhang, Yingfeng & Chai, Yueting & Sun, Xiao & Wang, Zhen, 2023. "The construction of peer punishment preference: how central power shapes prosocial and antisocial punishment behaviors," Applied Mathematics and Computation, Elsevier, vol. 442(C).
  40. Saptarshi Pal & Christian Hilbe, 2022. "Reputation effects drive the joint evolution of cooperation and social rewarding," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
  41. Feng, Sinan & Liu, Xuesong, 2024. "Effects of three-faced strategy on the evolution of cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
  42. Dongil Chung & Kyongsik Yun & Jin Ho Kim & Bosun Jang & Jaeseung Jeong, 2011. "Different Gain/Loss Sensitivity and Social Adaptation Ability in Gifted Adolescents during a Public Goods Game," PLOS ONE, Public Library of Science, vol. 6(2), pages 1-11, February.
  43. Yan, Zeyuan & Zhao, Hui & Liang, Shu & Li, Li & Song, Yanjie, 2024. "Inter-layer feedback mechanism with reinforcement learning boosts the evolution of cooperation in multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
  44. Takesue, Hirofumi, 2026. "Hinderance of cooperation by individual solutions: Evolutionary dynamics of three-strategy games combining the prisoner’s dilemma and stag hunt," Applied Mathematics and Computation, Elsevier, vol. 510(C).
  45. Bi, Yan & Hao, Qingyi & Wu, Wenjun, 2024. "The warning effect of persistent defection strategy promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
  46. Ding, Rui & Wang, Xianjia & Zhao, Jinhua & Gu, Cuiling, 2025. "Effects of punishment driven by inequity aversion on promoting cooperation in public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
  47. Ding, Rui & Wang, Xianjia & Quan, Ji & Ma, Shuting & Zhao, Jinhua, 2025. "Evolutionary dynamics of spatial public goods games with insurance mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
  48. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.
  49. Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
  50. Jinzhuo Liu & Mao Peng & Yunchen Peng & Yong Li & Chen Chu & Xiaoyu Li & Qing Liu, 2021. "Effects of inequality on a spatial evolutionary public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-7, August.
  51. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
  52. Quan, Ji & Pu, Zhenjuan & Wang, Xianjia, 2021. "Comparison of social exclusion and punishment in promoting cooperation: Who should play the leading role?," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
  53. Xiaojie Chen & Yongkui Liu & Yonghui Zhou & Long Wang & Matjaž Perc, 2012. "Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-8, May.
  54. Xie, Kai & Liu, Tingjin, 2024. "The regulation of good and evi promotes cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 478(C).
  55. Rosalba Morese & Daniela Rabellino & Fabio Sambataro & Felice Perussia & Maria Consuelo Valentini & Bruno G Bara & Francesca M Bosco, 2016. "Group Membership Modulates the Neural Circuitry Underlying Third Party Punishment," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-14, November.
  56. Quan, Ji & Cui, Shihui & Chen, Wenman & Wang, Xianjia, 2023. "Reputation-based probabilistic punishment on the evolution of cooperation in the spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 441(C).
  57. Kohei Miyaji & Jun Tanimoto & Zhen Wang & Aya Hagishima & Naoki Ikegaya, 2013. "Direct Reciprocity in Spatial Populations Enhances R -Reciprocity As Well As ST -Reciprocity," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
  58. Chorus, Caspar G., 2015. "Models of moral decision making: Literature review and research agenda for discrete choice analysis," Journal of choice modelling, Elsevier, vol. 16(C), pages 69-85.
  59. Zhang, Jiliang & Wang, Yuhang & Zhou, Yinzuo & Zhang, Yi-Cheng & Meng, Fanyuan, 2025. "Threshold-based punishment mechanism in evolutionary public goods games on random hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
  60. Mayuko Nakamaru & Akira Yokoyama, 2014. "The Effect of Ostracism and Optional Participation on the Evolution of Cooperation in the Voluntary Public Goods Game," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-9, September.
  61. Cui, Guang-Hai & Wang, Zhen & Yang, Yan-Cun & Tian, Sheng-Wen & Yue, Jun, 2018. "Heterogeneous game resource distributions promote cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1191-1200.
  62. Li, Lin & Lv, Jingyu & Ruan, Jing & Ma, Lili, 2025. "The effects of dynamic peer pressure on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 665(C).
  63. Martin Holubčík & Jakub Soviar & Viliam Lendel, 2022. "Through Synergy in Cooperation towards Sustainable Business Strategy Management," Sustainability, MDPI, vol. 15(1), pages 1-30, December.
  64. Quan, Ji & Zhang, Xiyue & Chen, Wenman & Tang, Caixia & Wang, Xianjia, 2024. "Reputation-dependent social learning on the evolution of cooperation in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 475(C).
  65. Wang, Mie & Kang, HongWei & Shen, Yong & Sun, XingPing & Chen, QingYi, 2021. "The role of alliance cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  66. Niu, He & Chen, Yuyou & Ye, Hang & Zhang, Hong & Li, Yan & Chen, Shu, 2020. "Distinguishing punishing costly signals from nonpunishing costly signals can facilitate the emergence of altruistic punishment," Applied Mathematics and Computation, Elsevier, vol. 371(C).
  67. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
  68. Karl Sigmund & Christoph Hauert & Arne Traulsen & Hannelore Silva, 2011. "Social Control and the Social Contract: The Emergence of Sanctioning Systems for Collective Action," Dynamic Games and Applications, Springer, vol. 1(1), pages 149-171, March.
  69. Zhu, Zhewen & Dong, Yuting & Lu, Yikang & Shi, Lei, 2021. "Information exchange promotes and jeopardizes cooperation on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
  70. Sun, Xingping & Zhu, Haoran & Kang, Hongwei & Bi, Yanzheng & Shen, Yong & Chen, Qingyi, 2025. "The impact of memory reputation-induced tax and reward allocation on spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
  71. Feng, Sinan & Liu, Xuesong, 2023. "Effects of the limited incentive pool on cooperation evolution in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  72. Guo, Tian & He, Zhixue & Shi, Lei, 2023. "Self-organization in mobile populations promotes the evolution of altruistic punishment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
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  79. Matsuzawa, Ryo & Tanimoto, Jun, 2018. "Sanctions triggered by jealousy help promote the cooperation in spatial prisoner's dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 239-243.
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  86. Li, Kun & Mao, Yizhou & Wei, Zhenlin & Cong, Rui, 2021. "Pool-rewarding in N-person snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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  90. Ding, Rui & Wang, Xianjia & Quan, Ji & Ma, Shuting & Zhao, Jinhua, 2025. "The evolution of cooperation and punishment in spatial public goods games with bribery," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
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